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Results (5 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 23
7728.2.a.m 7728.a 1.a $1$ $61.708$ \(\Q\) None \(0\) \(1\) \(-4\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
7728.2.a.s 7728.a 1.a $1$ $61.708$ \(\Q\) None \(0\) \(1\) \(1\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}-q^{13}+q^{15}+\cdots\)
7728.2.a.t 7728.a 1.a $1$ $61.708$ \(\Q\) None \(0\) \(1\) \(2\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
7728.2.a.bg 7728.a 1.a $2$ $61.708$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-3\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
7728.2.a.bv 7728.a 1.a $3$ $61.708$ 3.3.1509.1 None \(0\) \(3\) \(-1\) \(-3\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta _{1}q^{5}-q^{7}+q^{9}+(-1+2\beta _{1}+\cdots)q^{11}+\cdots\)
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